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首页> 外文期刊>Neural Networks and Learning Systems, IEEE Transactions on >The Robustness of Outputs With Respect to Disturbances for Boolean Control Networks
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The Robustness of Outputs With Respect to Disturbances for Boolean Control Networks

机译：布尔控制网络在干扰方面的输出鲁棒性

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摘要

In this brief, we investigate the robustness of outputs with respect to disturbances for Boolean control networks (BCNs) by semi-tensor product (STP) of matrices. First, BCNs are converted into the corresponding algebraic forms by STP, then two sufficient conditions for the robustness are derived. Moreover, the corresponding permutation system and permutation graph are constructed. It is proven that if there exist controllers such that the outputs of permutation systems are robust with respect to disturbances, then there must also exist controllers such that the outputs of the corresponding original systems achieve robustness with respect to disturbances. One effective method is proposed to construct controllers to achieve robustness. Examples are also provided to illustrate the correctness of the obtained results.
机译：在本文中，我们研究了矩阵的半张量积（STP）对布尔控制网络（BCN）的干扰输出的鲁棒性。首先，通过STP将BCN转换为相应的代数形式，然后得出两个足够的鲁棒性条件。此外，构建了相应的置换系统和置换图。已经证明，如果存在控制器，使得置换系统的输出相对于干扰是鲁棒的，则还必须存在控制器，使得相应的原始系统的输出相对于干扰是鲁棒的。提出了一种构造控制器以达到鲁棒性的有效方法。还提供了一些例子来说明所获得结果的正确性。

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